What is the integral of e^xcos(y) ?

The integral of e^xcos(y) is cos(y)e^x+C

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integral of e^xcos(y)

\int e^{x} cos (y) d x

cos (y) e^{x} + C

Solution steps

\int e^{x} cos (y) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos (y) \cdot \int e^{x} d x

Use the common integral:

\int e^{x} d x = e^{x}

= cos (y) e^{x}

Add a constant to the solution

= cos (y) e^{x} + C

\int 3 x^{2} e^{8 x^{3}} d x

\int \frac{36}{1 - cos ( 9 x )} d x

\int_{1}^{\infty} \frac{5}{x ^{2}} d x

e^{2 x + 2}

x \to \infty lim (0. 7^{x})